scholarly journals Exact analytical evaluation of time dependent transmission coefficient from the method of reactive flux for an inverted parabolic barrier

2007 ◽  
Vol 126 (13) ◽  
pp. 134106 ◽  
Author(s):  
Rajarshi Chakrabarti
Keyword(s):  
Transmission Coefficient ◽  
Time Dependent ◽  
Analytical Evaluation ◽  
Reactive Flux

Time-dependent barrier passage of one-dimensional fractional damping reactive system

2018 ◽  
Vol 32 (26) ◽  
pp. 1850285
Author(s):  
Chun-Yang Wang ◽  
Zhao-Peng Sun ◽  
Ming Qing ◽  
Yu-Qing Xu
Keyword(s):  
Transmission Coefficient ◽  
Brownian Particle ◽  
Time Dependent ◽  
Reactive System ◽  
Damping Properties ◽  
Flux Method ◽  
Fractional Damping ◽  
One Dimensional ◽  
Reactive Process ◽  
Insight Into

The time-dependent barrier passage of a Brownian particle diffusing in the fractional damping environment is studied by using the reactive flux method. Characteristic quantities such as the rate constant and stationary transmission coefficient are computed for a thimbleful of insight into the barrier escaping dynamics. Results show that the barrier recrossing of the fractional damping reactive system is obviously weakened. And the nonmonotonic varying of the stationary transmission coefficient reveals a close dependence of the escaping process on the fractional damping properties. The time-dependent barrier passage of one-dimensional fractional damping reactive process is found very similar to the two-dimensional non-Ohmic case.

scholarly journals INTERNAL AND EXTERNAL FLUCTUATION ACTIVATED NONEQUILIBRIUM REACTIVE RATE PROCESS

2013 ◽  
Vol 27 (10) ◽  
pp. 1350072 ◽  
Author(s):  
CHUN-YANG WANG
Keyword(s):  
Saddle Point ◽  
Transmission Coefficient ◽  
Rate Process ◽  
External Fluctuations ◽  
Effective Transmission ◽  
External Activation ◽  
Reactive Flux

An externally activated nonequilibrium anomalous reactive rate process is studied by taking into account both internal and external fluctuations in a unified way. The probability of diffusion passing over the saddle point and the reactive rate together with the effective transmission coefficient are calculated by the method of reactive flux. It is found that the fierceness of internal fluctuation is always harmful to the diffusion of particles. However, the external activation may be beneficial to the rate process.

TIME-DEPENDENT CALCULATION FOR THE TRANSMISSION COEFFICIENT OF TWO-DIMENSIONAL QUANTUM WIRE STRUCTURES IN THE PRESENCE OF MAGNETIC FIELD

1999 ◽  
Vol 13 (08) ◽  
pp. 895-902
Author(s):  
CHINGHONG YIU ◽  
JIAN WANG
Keyword(s):  
Magnetic Field ◽  
Transmission Coefficient ◽  
Time Evolution ◽  
Quantum Wire ◽  
Arbitrary Shape ◽  
Wave Functions ◽  
Time Dependent ◽  
Mode Matching ◽  
Two Dimensional ◽  
Matching Method

We present a simple and efficient method for calculating transmission coefficient of two-dimensional quantum wire structures in the presence of magnetic field. The time evolution of a wave packet is first obtained by solving the time dependent Schrödinger equation. Transmission coefficient is then extracted from the wave function by an intergal transform. This method is easier to implement than traditional time-independent methods such as mode matching method and it can be used to study the time evolution of wave functions for systems with arbitrary shape.

Anomalous barrier escaping in an externally modulated environment of system-reservoir coupling

2015 ◽  
Vol 29 (04) ◽  
pp. 1550012
Author(s):  
Chun-Yang Wang
Keyword(s):  
Transmission Coefficient ◽  
Heat Bath ◽  
Time Dependent ◽  
Correlated Noise ◽  
Rate Process ◽  
Flux Method ◽  
Uhlenbeck Process ◽  
External Modulation ◽  
Net Flux ◽  
Effective Transmission

The time-dependent barrier passage of an activated rate process is studied where the heat bath in the system-reservoir coupling environment is modulated by an external fluctuation. For a thorough inspection on the barrier recrossing dynamics, the Kramers rate and effective transmission coefficient are calculated of the reactive flux method. In the particular case of a δ-correlated noise activated Ornstein–Uhlenbeck process, it is found that, the external modulation can in some cases result in an maximum effective transmission coefficient. This reveals a maximum net flux and can be obtained from the minimum barrier recrossing resulted from appropriate external modulation.

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